Question 13 Find the derivative of the following functions. (a) F(x) - V + + 8dt (b) G(x) - 2+3 (c) H(1) = = # 4 4 Question 14 Let g(x) - / f(that, where f is the function whose graph is showll. (a) At what values of I do the local maximum and minimum values of g occur? (b) Where does g attain its absolute maximum value? (c) On what intervals is g concave downward? (d) Sketch the graph of g. 3+ 2+ -2 Question 15 If f(x) - (1 -12) eat, on what interval is f increasing? Question 16 Find a function f and a number a such that 6+ 12 dt = 2/2 for all I > ()